Can you donate your Liver and live?

Yes, the remaining donor liver will regenerate to normal size and capacity in a couple of months.
A living-donor liver transplant involves transplanting a portion of the liver from a living donor into a recipient whose liver no longer functions properly.
The donor's remaining liver regenerates itself and returns to its normal volume and capacity within a couple of months after the surgery. Meanwhile, the transplanted liver portion grows and restores normal liver function in the recipient.
To be considered for a living-donor liver transplant, both the donor and recipient must undergo a thorough health and psychological evaluation at a transplant center. Separate transplant teams will care for the donor and recipient during the evaluation process and will discuss the potential benefits and risks of the procedure in detail.